Operations With Complex Numbers; The Complex Stack - HP 33s User Manual

9
Operations with
Complex Numbers
The HP 33s can use complex numbers in the form
x + iy .
It has operations for complex arithmetic (+, –, , ), complex trigonometry (sin, cos,
z z ,
z
tan), and the mathematics functions – z , 1/ z , 2 ln z , and e . (where z and
1
1
z are complex numbers).
2
To enter a complex number:
1. Type the imaginary part.
Ï
2. Press .
3. Type the real part.
Complex numbers in the HP 33s are handled by entering each part (imaginary
and real) of a complex number as a separate entry. To enter two complex numbers,
¹ c
you enter four separate numbers. To do a complex operation, press
before the operator. For example, to do
(2 + i 4) + (3 + i 5),
Ï Ï Ï ¹ c Ù
press 4 2 5 3 .
The result is 5 + i 9. (The first line is the imaginary and the second is the real part.)

The Complex Stack

In RPN mode, the complex stack is really the regular memory stack split into two
double registers for holding two complex numbers, z + i z and z + i z :
1x 1y 2x 2y
9–1

Operations with Complex Numbers